US6788480B1 - Method and apparatus for determining track density during a servo-track writing operation - Google Patents
Method and apparatus for determining track density during a servo-track writing operation Download PDFInfo
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- US6788480B1 US6788480B1 US10/028,329 US2832901A US6788480B1 US 6788480 B1 US6788480 B1 US 6788480B1 US 2832901 A US2832901 A US 2832901A US 6788480 B1 US6788480 B1 US 6788480B1
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- G—PHYSICS
- G11—INFORMATION STORAGE
- G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
- G11B5/00—Recording by magnetisation or demagnetisation of a record carrier; Reproducing by magnetic means; Record carriers therefor
- G11B5/48—Disposition or mounting of heads or head supports relative to record carriers ; arrangements of heads, e.g. for scanning the record carrier to increase the relative speed
- G11B5/58—Disposition or mounting of heads or head supports relative to record carriers ; arrangements of heads, e.g. for scanning the record carrier to increase the relative speed with provision for moving the head for the purpose of maintaining alignment of the head relative to the record carrier during transducing operation, e.g. to compensate for surface irregularities of the latter or for track following
- G11B5/596—Disposition or mounting of heads or head supports relative to record carriers ; arrangements of heads, e.g. for scanning the record carrier to increase the relative speed with provision for moving the head for the purpose of maintaining alignment of the head relative to the record carrier during transducing operation, e.g. to compensate for surface irregularities of the latter or for track following for track following on disks
- G11B5/59633—Servo formatting
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- G—PHYSICS
- G11—INFORMATION STORAGE
- G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
- G11B27/00—Editing; Indexing; Addressing; Timing or synchronising; Monitoring; Measuring tape travel
- G11B27/36—Monitoring, i.e. supervising the progress of recording or reproducing
-
- G—PHYSICS
- G11—INFORMATION STORAGE
- G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
- G11B5/00—Recording by magnetisation or demagnetisation of a record carrier; Reproducing by magnetic means; Record carriers therefor
- G11B5/02—Recording, reproducing, or erasing methods; Read, write or erase circuits therefor
- G11B5/09—Digital recording
-
- G—PHYSICS
- G11—INFORMATION STORAGE
- G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
- G11B2220/00—Record carriers by type
- G11B2220/20—Disc-shaped record carriers
Definitions
- the present invention relates to an apparatus and method for determining the density of servo-tracks to be written to a disk drive during a servo-track writing operation.
- Disk drives permanently store information in the form of magnetic transitions written onto and read from one or more rigid disks. These transitions are written by a write element in generally concentric tracks on a storage medium that is formed on the disks.
- a servo system is provided in the disk drive that includes a plurality of servo sectors on the disks to enable a read element to access a particular track (i.e., to seek) and to remain on the track (i.e., to track-follow).
- PES position error signal
- Servo information is written into servo sectors in a manufacturing process called servo-track writing.
- Servo-track writing is performed by a device called a servo-track writer, into which a disk drive sub-assembly, called a head-disk assembly (HDA), is inserted.
- the HDA comprises a spindle motor, one or more disks rotatably mounted on the spindle motor, a head actuator, at least one read element, and at least one write element mounted on the head actuator for each disk.
- the servo-track writing process establishes the density of the tracks along a radius of the disk, known as the track density.
- track density of a disk drive varies across the surface of a disk, track density is typically summarized as a single value of tracks per inch (“TPI”). Track density directly affects the capacity of the disk drive.
- the track density is predetermined for a particular disk drive design to assure that HDAs made according to that disk drive design will have adequate track-following performance.
- PES varies across the distribution of HDAs
- some HDAs have much better PES than needed for the predetermined track density.
- These HDAs have PES margin that is currently not utilized.
- One aspect of the present invention is a method for manufacturing a disk drive that comprises a head-disk assembly that has a disk with a storage medium.
- the head-disk assembly has a servo performance.
- a plurality of calibration tracks are written onto the storage medium at a calibration track density profile corresponding to a portion of a nominal track density profile.
- the servo performance of the head-disk assembly is measured at the calibration tracks.
- a selected track density profile is identified based on the measured servo performance of the head-disk assembly.
- a plurality of tracks are written to the storage medium of the disk at the selected track density profile.
- Another aspect of the present invention is a servo-track writer that writes a plurality of calibration tracks on a storage medium of a head-disk assembly at a calibration stepping increment.
- the servo-track writer also writes a plurality of servo-tracks on the storage medium of the head-disk assembly at a selected stepping increment.
- the head-disk assembly comprises a read element, a write element, and an actuator.
- the head-disk assembly has a servo performance.
- the servo-track writer comprises a controller that processes a clock reference pattern to determine the circumferential location of the write element. The controller also directs the write element to write the servo-tracks to the storage medium.
- the servo-track writer also comprises a head positioner circuit and a servo performance measurement circuit.
- the servo performance measurement circuit measures an aspect of the servo performance of the head-disk assembly and identifies a selected stepping increment based thereon.
- the head positioner circuit comprises a positioning mechanism that imparts a step-wise movement to the actuator at a calibration stepping increment for writing the plurality of calibration tracks.
- the positioning mechanism imparts a step-wise movement to the actuator at the selected stepping increment for writing the plurality of servo-tracks to the storage medium.
- a disk drive that comprises a head-disk assembly that has a servo performance.
- the head disk assembly comprises an actuator, a read element, a write element, a spindle motor, and a disk that has a storage medium.
- the disk is mounted on the spindle motor.
- a plurality of calibration tracks are written onto the storage medium at a calibration track density corresponding to a portion of a nominal track density profile.
- the servo performance of the head-disk assembly is measured at the calibration tracks.
- a selected track density profile is identified based on the measured servo performance of the head-disk assembly.
- a plurality of servo-tracks are written to storage medium of the disk at the selected track density profile.
- FIG. 1 is a pictorial representation of a disk drive comprising an HDA.
- FIG. 2 pictorially illustrates the HDA of the disk drive of FIG. 1 inserted into an external servo-track writer that writes servo-tracks according to the method described herein.
- FIG. 3 shows an example of a distribution of PES of a population of HDAs.
- FIG. 4 shows the PES of an individual HDA as a function of the disk location, where the HDA has an average PES equal to the average PES shown in FIG. 3 .
- the PES values are shown on the right y-axis.
- FIG. 4 also shows a curve of track density (TPI) that corresponds to the PES curve of FIG. 4 .
- the track density scale is shown on the left y-axis.
- FIG. 5 shows a seek profile, and particularly shows a settle profile and a settle window for a high seek performance HDA and a nominal performance HDA.
- FIG. 6 shows a flow chart of a method for determining the track density of an individual HDA during a servo-track writing operation.
- FIG. 7 shows the track density profiles of various HDAs written according to the method of FIG. 6 .
- FIG. 7A shows a track density profile of an HDA written according to a method described herein.
- FIG. 8 shows a flow chart of a method for determining a track density during a servo-track writing operation that takes into account whether seek performance can be enhanced.
- FIG. 9 shows the relationship between track density and settle performance.
- FIG. 1 shows a disk drive 10 that comprises a head-disk assembly (HDA) 12 that includes at least one rigid disk 14 .
- the disk 14 has at least one recording surface with a storage medium deposited thereon.
- the HDA 12 also comprises an actuator 16 , at least one read/write head 18 mounted on the actuator 16 , and a spindle motor 20 .
- the read/write head 18 comprises a read element and a write element.
- the read element and the write element are integrated into a single structure, i.e., the read/write head 18 .
- one structure is provided for the read element and a different structure is provided for the write element. This embodiment may be used in an optical drive.
- the actuator 16 is a rotary actuator that positions the read element and the write element of the read/write head 18 .
- the actuator 16 can be a linear actuator that positions the read element and the write element of the read/write head 18 .
- the disk 14 is mounted on the spindle motor 20 .
- the disk drive 10 preferably also includes a voice-coil motor (VCM) 222 , shown schematically in FIG. 2, that positions the actuator 16 and the read/write head 18 , including the read and write elements.
- VCM voice-coil motor
- the disk 14 also comprises a plurality of servo-tracks that include embedded servo sectors which are recorded at a regular interval and interleaved with the data sectors.
- the servo-tracks establish the density of the tracks along a radius of the disk 14 , i.e., the track density of the disk 14 .
- the density of the tracks is typically summarized as a single value measured in tracks per inch (TPI).
- TPI tracks per inch
- the track density typically varies across the disk, and, therefore, the disk drive 10 more generally has a track density profile, as discussed in more detail below in connection with FIG. 4 .
- the operation of a disk drive 10 incorporating embedded servo sectors to enable the seeking and tracking operations necessary to write and read data to the data sectors will be discussed in more detail below in connection with FIG. 5 .
- the servo-tracks can be written to the disk 14 of the HDA 12 by an external servo-track writer 200 , illustrated in FIG. 2 .
- the servo-track writer 200 can use the preamplifier, the read element, and the write element of the read/write head 18 within the HDA 12 , but can use separate control circuitry and servo mechanics to radially position the read/write head 18 , as is discussed below.
- the read element and the write element of the read/write head 18 are incorporated into separate structures.
- the external servo-track writer 200 comprises a “clock head” 204 , a clock pattern generator 208 , a timing circuit 212 , and a timing clock 216 .
- the servo-track writer 200 directs the clock head 204 and the clock reference pattern generator 208 to write a magnetic clock reference pattern to the storage medium the disk 14 .
- the magnetic clock reference pattern is read from the storage medium of the disk 14 by the clock head 204 and is processed by the timing circuit 212 to generate the timing clock 216 during the servo-writing of the HDA 12 .
- the servo-track writer 200 also comprises a controller 220 , to which the timing clock 216 is applied.
- the controller 220 processes the timing clock 216 to derive the circumferential location of the read/write head 18 with respect to the servo-tracks so that the servo sectors are written at the same circumferential location from the inner to the outer diameter servo-tracks.
- the controller 220 also directs the read/write head 18 to write the servo-tracks to the storage medium of the disk 14 .
- the clock reference pattern is not read by the clock head 204 from the disk 14 , but is provided to the controller 220 from a clock circuit that is external to the HDA 12 .
- the servo-track writer 200 need not have all the circuitry and components shown in FIG. 2 .
- the servo-track writer 200 need not have a clock head 204 , and the clock pattern generator 208 and timing circuit 212 can be replaced by the external clock circuit.
- the external servo-track writer 200 further comprises a push pin 224 and a head positioner circuit 228 .
- the push pin 224 is extendable into the HDA 12 to engage the actuator arm 16 .
- the head positioner circuit 228 comprises a laser interferometer, or other suitable positioning mechanism, and increments the push pin 224 by a value to impart a step-wise movement to the actuator 16 .
- the head positioner circuit 228 increments the push pin 224 by a constant value, and more particularly by a value that is constant for all disk drives 10 of a given disk drive design.
- the controller 220 also controls several operations of the HDA 12 during the servo-track writing operation. For example, the controller 220 applies a reverse direction bias current to the coil of the VCM 222 over a line 232 in order to bias the actuator arm 16 against the push pin 224 to facilitate precise positioning of the read element and the write element of the read/write head 18 . The controller 220 also applies a current to the coil of the spindle motor 20 over a line 236 in order to spin up the disk 14 and then rotate the disk 14 at a substantially constant angular velocity.
- the servo-track writer 200 also can comprise a servo performance measurement circuit 250 in the embodiment shown.
- a servo performance measurement circuit 250 can be incorporated into the servo-track writer 200 .
- different increment values can be identified for different disk drives 10 of a given disk drive design.
- a different increment can be identified for every disk drive 10 servo written by the servo-track writer 200 . Therefore, a selected track density profile can be identified based on one or more measurements made by the servo performance measurement circuit 250 , and the selected track density profile can vary within the population of disk drives 10 made according to a single disk drive design.
- the servo performance measurement circuit 250 preferably measures at least one aspect of the servo performance of the HDA 12 and preferably identifies a selected stepping increment, or a selected stepping increment profile based thereon.
- stepping increment means a discrete movement of the actuator 16 by servo track writer 200 between servo track writing passes, which movement determines the track density. As such, the discrete movement may be implemented as a single step or as a series of steps comprising the required movement.
- a “stepping increment profile” as used herein means a pattern of such discrete movements applied across the disk surface. Such a pattern can comprise a linear progression of discrete movement or a non-linear progression.
- servo performance can be measured by the servo performance measurement circuit 250 .
- PES as illustrated in FIGS. 3-4
- an aspect of seek performance such as settle time, as illustrated in FIG. 5
- the servo performance measurement circuit 250 can measure two or more aspects of servo performance, such as PES and settle time.
- Other aspects of servo performance known in the art and can also be measured by the servo performance measurement circuit 250 and used in the methods described herein.
- the servo performance measurement circuit 250 is configured to identify a selected track density profile based on measured servo performance of the HDA 12 .
- the positioning mechanism of the head positioner circuit 228 moves the push pin 224 to impart a step-wise movement to the actuator 16 .
- the positioning mechanism of the head positioner circuit 228 is configured to move the actuator 16 by a calibration stepping increment to write the plurality of calibration tracks onto the storage medium of the disk 14 .
- the servo-track writer 200 can write a plurality of calibration tracks onto the storage medium of the disk 14 at a calibration track density profile.
- the calibration track density profile corresponds to a portion of a nominal track density profile in one embodiment.
- the nominal track density profile can be the track density profile expected to work in the HDA 12 that has average PES (shown on FIG. 3 as PES AVG — TOT , and discussed further below).
- the servo performance measurement circuit 250 is configured to measure the servo performance of the HDA 12 at the calibration tracks and identify a selected track density profile based on the measured servo performance of the HDA 12 at the calibration tracks.
- the head positioner circuit 228 is configured to move the push pin 224 to impart a step-wise movement to the actuator 16 at the selected stepping increment.
- the plurality of servo-tracks is written to the storage medium of the disk 14 according to the selected stepping increment.
- the selected stepping increment is related to the selected track density.
- the selected stepping increment can be a selected stepping increment profile, i.e., the stepping increment can be a non-constant value, and thus the methods disclosed herein are capable of producing a wide variety of track density profiles.
- the PES of the HDA 12 is one aspect of servo performance that can be measured by the servo performance measurement circuit 250 .
- PES is affected by many factors, and generally indicates the tendency of the read element or the write element of the read/write head 18 to remain over a given track on the storage medium of the disk 14 . Higher PES indicates that the HDA 12 has less margin for writing data. Lower PES indicates that the HDA 12 has more margin for writing data.
- FIG. 3 shows an example of a distribution 310 of the average PES for a population of HDAs 12 .
- the PES values of the distribution 310 correspond to the average PES for all servo-tracks in individual HDAs 12 .
- PES of an HDA 12 of a disk drive 10 is a random variable and the distribution 310 is a normal distribution.
- PES AVG — TOT is the average value of the PES for the entire population of disk drives 10 made according to a given disk drive design.
- PES varies across the disk 14 of an individual disk drive 10 , as shown in FIG. 4 .
- a PES curve 410 for an individual disk drive 10 is a function of location over the disk 14 .
- the PES at the OD position i.e., proximate the outer circumference of the disk 14
- the PES at the ID position i.e., proximate the inner circumference of the disk 14
- the PES at the OD and the PES at the ID are both greater than the PES in the middle portion of the disk 14 .
- the OD of the disk 14 also generally has larger PES than near the middle of the disk 14 due to adverse mechanical conditions at that position.
- PES AVG — NOM an average PES value, PES AVG — NOM , can be calculated for an individual disk drive 10 .
- PES AVG — NOM a statistical measure of the PES, such as PES AVG — NOM , of a particular HDA 12 is lower than the nominal PES (PES AVG — TOT ) shown in FIG. 3, the track density may be increased for that HDA 12 .
- FIG. 4 also illustrates a track density profile 420 for an HDA 12 having a rotary actuator 16 .
- the profile 420 commonly referred to as a “bathtub” curve, is a plot of the track density value on the left y-axis and disk location on the x-axis.
- the track density profile 420 generally has the shape of a cross-section of a bathtub.
- the track density near the inner circumference of the storage medium (marked “ID”) is represented toward the left of the track density profile 420 .
- the track density value is relatively high because the read/write head 18 is at a relatively high skew angle at the ID, as will be understood.
- the track density near the outer circumference of the storage medium of the disk 14 (marked “OD”) is represented toward the right of the track density curve.
- the track density there again is relatively high because the read/write head 18 is at relatively high skew angle at the OD.
- the track density value decreases between the “ID” position and the “OD” position because the skew angle of the read/write head 18 decreases between those positions.
- one way to summarize the track density profile 420 is to compute an average track density.
- the average track density of the track density profile 420 is TPI AVG — NOM , shown on the left y-axis.
- the track density profile plotted in FIG. 4 is that of an HDA 12 having a rotary actuator 16 , a similar plot can be made showing the density of tracks along a radius of the disk 14 for an HDA 12 having a linear actuator 16 .
- FIG. 5 illustrates a representative seek profile in a disk drive 10 .
- the seek operations are read and write seek operations from a current track X 505 to a target track Y 510 , and as such, follow a seek profile for a given seek distance.
- the graphical representation illustrates the position of the head relative to target track Y 510 versus time.
- a position plot of the seek profile is illustrated at 515 with a corresponding seek time (time to reach the target track) indicated at 520 .
- the actuator contains an amount of energy and has transients due to excitation of mechanical resonance, and as such, “over shoots” the target track Y 510 , indicated at 525 , until the servo system brings the read/write head 18 into closer alignment with the target track Y 510 .
- the overshoot prevents the disk drive 10 from performing read or write operations until the read/write head 18 settles onto the target track Y 510 , i.e., until a settle criteria is satisfied.
- the time required to reach the settle criteria is known as the settle time.
- the settle performance of a population of disk drives 10 is a random variable. As such, the seek performance and settle performance of some disk drives 10 are better than such performance of other disk drives 10 . As a result, the settle time for the HDA 12 with better settle performance, i.e., the high performance HDA 12 , will be shorter, as indicated by the high performance settle time 530 . On the other hand, an HDA 12 with nominal performance will have a longer settle time, as indicated by the settle time 535 .
- a method is provided for manufacturing the disk drive 10 that comprises the HDA 12 that comprises the disk 14 with a storage medium.
- the plurality of calibration tracks is written onto the storage medium of the disk 14 at a calibration track density profile.
- the calibration tracks are written so that the density of the calibration tracks corresponds to a portion of a nominal track density profile.
- the nominal track density profile may be the track density profile that will work for the HDA 12 having nominal PES, i.e., PES AVG — TOT (see FIG. 3 ).
- the servo performance of the HDA 12 is measured at the calibration tracks.
- measuring the servo performance can include any of the following alone or in combination:
- a selected track density profile is identified based on the measured servo performance of the HDA 12 .
- the selected track density profile can have the same shape as the nominal track density profile, illustrated in FIG. 3, but be generally higher or lower. This is further illustrated and discussed below in connection with FIG. 7 . If the servo performance is relatively good, the average track density of the selected track density profile can be greater than the average track density of the nominal track density profile. If the servo performance is relatively poor, the average track density of the selected track density profile can be less than the average track density of the nominal track density profile. If the servo performance is about equal to the nominal servo performance, the average track density of the selected track density profile can be about equal to the average track density of the nominal track density profile.
- the selected track density profile is identified by comparing the average PES of the HDA 12 at the calibration tracks to the expected PES of the nominal track HDA 12 . In one embodiment where the measured average PES of the HDA 12 at the calibration tracks is lower that the expected PES of the nominal track density profile of a nominal HDA 12 , the average track density of the selected track density profile can be greater than the average track density of the nominal track density profile. In the embodiment where the measured average PES of the HDA 12 at the calibration tracks is higher that the expected PES of the nominal track density profile of a nominal HDA 12 , the average track density of the selected track density profile can be less than the average track density of the nominal track density profile.
- a plurality of tracks is written to storage medium of the disk 14 at the selected track density profile.
- the writing of the servo track onto the storage medium of the disk 14 is discussed in detail above and will not be repeated here.
- FIG. 7 illustrates some of the track density profiles that can be selected by the apparatus and methods described herein.
- the track density profile 420 is the nominal track density profile, also shown in FIG. 4 .
- the track density profile 420 can be summarized by the single value TPI AVG — NOM , shown on the y-axis of FIG. 7.
- a track density profile 720 is also shown that is generally above the track density profile 420 , and thus has a higher average track density value, TPI AVG — HI .
- the track density profile 720 can be identified as the selected track density profile if, for example, the servo performance of the HDA 12 to which it corresponds is relatively high.
- a track density profile 725 is also shown that is generally below the track density profile 420 , and thus has a lower average track density value, TPI AVG — LOW .
- the track density profile 725 can be identified as the selected track density profile if, for example, the servo performance of the HDA 12 to which it corresponds is relatively low.
- the method and apparatus described herein are capable of producing other shaped track density profiles by varying the stepping increment of the push pin 224 across the stroke of the actuator 16 .
- the track density can be made constant across the disk from ID to OD, as illustrated by the track density profile 760 in FIG. 7 A. This can be achieved by varying the amount that the push pin 224 is incremented as the write element of the read/write head 18 is moved across the disk 14 .
- the track density can be made to actually decrease at the OD, while being generally higher than TPI AVG — NOM at other locations on the disk.
- a method that contemplates sacrificing some of the track density capability of the HDA 12 to increase the HDA's seek performance.
- This embodiment is illustrated by FIG. 8 .
- a step 810 a plurality of calibration tracks is written in the manner discussed above.
- the servo performance of the HDA 12 is measured at the calibration tracks.
- This step preferably involves measuring the track-following capability and the seek performance of the HDA 12 .
- the track-following performance is quantified by measuring the PES of the HDA 12 at the calibration tracks and the seek performance is quantified by measuring the settle time of the HDA 12 at the calibration tracks.
- a selected track density profile is identified based on the step of measuring the servo performance of the HDA 12 at the calibration tracks.
- a density-based track density profile is identified based on the measured PES of the HDA 12 .
- a selected track density profile is identified based on the determination of whether reducing the average density of the density-based track density profile is permitted.
- a step 860 the plurality of tracks is written to the storage medium of the disk 14 at the selected track density profile.
- the process of FIG. 8 can be used to determine whether a disk drive is suitable for a high performance application, for a high density application, or for a high density application that can also be used in a high performance application.
- FIG. 9 The method illustrated in FIG. 8 is further illustrated by FIG. 9.
- a track 910 is shown that corresponds to the density-based track density profile.
- the width TW 1 of the track 910 is a function of the density-based track density profile.
- Another track 920 is shown in vertical dashed lines that correspond to the selected track density profile, which in this example is lower than the density-based track density profile.
- the width TW 2 of the track 920 which is a function of the selected track density profile, is larger than the width TW 1 of the track 910 .
- FIG. 9 also shows a seek profile 925 of a head 18 seeking the track 910 at time T 1 . At time T 3 , the head first arrives at the track 910 , the seek time ends, and the settle time begins.
- the head 18 tends to overshoot the track 910 , and the settle time lasts until the head is close enough to the center of the track to function adequately.
- a head 18 may be considered close enough to the center of the track 910 when the head 18 is within a settle window, i.e., when the head is less than a predetermined percentage of the track width from the track centerline.
- the settle time extends from the arrival time (T 3 ) until the head is within the settle window for a fixed number of consecutive samples. For the density-based track density profile of FIG. 9, the settle time continues until time T 9 .
- the seek operation is in progress at time T 0 .
- the head 18 arrives at the target track 920 .
- the seek profile 905 is about the same for the density-based track density profile and for the selected track density profile.
- a wider range of absolute deviation from track centerline i.e., a wider settle window, is defined by applying the same percentage of track width discussed above to the wider track. This wider settle window may enable a shorter settle time.
- FIG. 9 shows that for the selected track density profile, the settle time continues until time T 6 .
- FIG. 9 shows that the settle time is shorter for the lower track density corresponding to TW 2 than it is for the higher track density corresponding to TW 1 .
- the foregoing methods compare averages of one or more aspects of servo performance and track density. It should be understood that other statistics can be used to summarize the servo performance and varying track density profiles (e.g., the median, the mode, or some other estimate of the center of the track density distribution, settle time, or PES, as well as standard deviation, variance, or any other estimate of the spread of the track density distribution, settle time, or PES).
- other statistics can be used to summarize the servo performance and varying track density profiles (e.g., the median, the mode, or some other estimate of the center of the track density distribution, settle time, or PES, as well as standard deviation, variance, or any other estimate of the spread of the track density distribution, settle time, or PES).
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